Topological sensitivity analysis in heterogeneous anisotropic elasticity problem: theoretical and computational aspects

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Física
dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.contributor.author	Giusti, Sebastian Miguel
dc.contributor.author	Ferrer Ferré, Àlex
dc.contributor.author	Oliver Olivella, Xavier
dc.date	2016-11
dc.identifier.citation	Giusti, S., Ferrer, A., Oliver, J. Topological sensitivity analysis in heterogeneous anisotropic elasticity problem: theoretical and computational aspects. "Computer methods in applied mechanics and engineering", Novembre 2016, vol. 311, p. 134-150.
dc.identifier.citation	0045-7825
dc.identifier.citation	10.1016/j.cma.2016.08.004
dc.identifier.uri	http://hdl.handle.net/2117/89388
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0045782516303577
dc.relation	info:eu-repo/grantAgreement/EC/FP7/320815/EU/Advanced tools for computational design of engineering materials/COMP-DES-MAT
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subject	Anisotropy--Mathematical models
dc.subject	Elasticity--Mathematical models
dc.subject	Topological derivative
dc.subject	Structural optimization
dc.subject	Topology design
dc.subject	Elastic anisotropy
dc.subject	COMP-DES-MAT Project
dc.subject	COMPDESMAT Project
dc.subject	Anisotropia
dc.subject	Elasticitat -- Models matemàtics
dc.title	Topological sensitivity analysis in heterogeneous anisotropic elasticity problem: theoretical and computational aspects
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The topological sensitivity analysis for the heterogeneous and anisotropic elasticity problem in two-dimensions is performed in this work. The main result of the paper is an analytical closed-form of the topological derivative for the total potential energy of the problem. This derivative displays the sensitivity of the cost functional (the energy in this case) when a small singular perturbation is introduced in an arbitrary point of the domain. In this case, we consider a small disc with a completely different elastic material. Full mathematical justification for the derived formula, and derivations of precise estimates for the remainders of the topological asymptotic expansion are provided. Finally, the influence of the heterogeneity and anisotropy is shown through some numerical examples of structural topology optimization.
dc.description.abstract	Peer Reviewed

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